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Simplifying 3(3x + 4) + -5 = 3x + 37 Reorder the terms: 3(4 + 3x) + -5 = 3x + 37 (4 * 3 + 3x * 3) + -5 = 3x + 37 (12 + 9x) + -5 = 3x + 37 Reorder the terms: 12 + -5 + 9x = 3x + 37 Combine like terms: 12 + -5 = 7 7 + 9x = 3x + 37 Reorder the terms: 7 + 9x = 37 + 3x Solving 7 + 9x = 37 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 7 + 9x + -3x = 37 + 3x + -3x Combine like terms: 9x + -3x = 6x 7 + 6x = 37 + 3x + -3x Combine like terms: 3x + -3x = 0 7 + 6x = 37 + 0 7 + 6x = 37 Add '-7' to each side of the equation. 7 + -7 + 6x = 37 + -7 Combine like terms: 7 + -7 = 0 0 + 6x = 37 + -7 6x = 37 + -7 Combine like terms: 37 + -7 = 30 6x = 30 Divide each side by '6'. x = 5 Simplifying x = 5
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